Arithmetic Tensor Operations

Collaboration diagram for Arithmetic Tensor Operations:

Functions
TensorPtr	dl::pow (TensorPtr base, float exponent) noexcept
	Computes the exponent -th power of each element in base and returns the resulting tensor.
TensorPtr	dl::exp (TensorPtr x) noexcept
	Computes the elementwise x -th power of e.
TensorPtr	dl::log (TensorPtr x) noexcept
	Natural logarithm, \(\log_e(\,\cdot\,)\).
TensorPtr	dl::sqrt (TensorPtr x) noexcept
	Computes the elementwise square root of x .
TensorPtr	dl::rsqrt (TensorPtr x) noexcept
	Computes the reciprocal square root for each element in x.

Detailed Description

Function Documentation

exp()

TensorPtr dl::exp ( TensorPtr  x )

noexcept

Computes the elementwise x -th power of e.

\[(x_i)_{1\leq i \leq n} \mapsto (e^{x_i})_{1\leq i \leq n}.\]

Parameters

base

Returns

the x -th power of e for each component of x .

log()

TensorPtr dl::log ( TensorPtr  x )

noexcept

Natural logarithm, \(\log_e(\,\cdot\,)\).

\[(x_i)_{1\leq i \leq n} \mapsto (\log_e x_i)_{1\leq i \leq n}.\]

Parameters

x

Returns

the natural logarithm of x .

pow()

TensorPtr dl::pow ( TensorPtr  base, float  exponent  )

noexcept

Computes the exponent -th power of each element in base and returns the resulting tensor.

Parameters

base	the basis for which to compute the exponent -th power.
exponent	the exponent.

Returns

the exponent -th power of each component of base .

rsqrt()

TensorPtr dl::rsqrt ( TensorPtr  x )

noexcept

Computes the reciprocal square root for each element in x.

\[(x_i)_{1\leq i \leq n} \mapsto \left(\frac{1}{\sqrt{x_i}}\right)_{1\leq i \leq n}.\]

Parameters

x

Returns

sqrt()

TensorPtr dl::sqrt ( TensorPtr  x )

noexcept

Computes the elementwise square root of x .

\[(x_i)_{1\leq i \leq n} \mapsto (\sqrt{x_i})_{1\leq i \leq n}.\]

Parameters

x

Returns

the square root of each component of x .